Lifted Heegaard Surfaces and Virtually Haken Manifolds
Lifted Heegaard Surfaces and Virtually Haken Manifolds
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DOI：
10.1142/s0218216512500733
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发表时间：
2010-01
期刊：
影响因子：
--
通讯作者：
Yu Zhang
中科院分区：
文献类型：
--
作者：
Yu Zhang
本文给出了无穷多个非Haken双曲亏格为3的3-流形，每个流形有一个有限覆盖，其由基流形的某亏格为3的Heegaard曲面导出的Heegaard曲面是可约的，但可压缩为不可压缩曲面.这一结果补充和推广了[CG].
In this paper, we give infinitely many non-Haken hyperbolic genus three 3-manifolds each of which has a finite cover whose induced Heegaard surface from some genus three Heegaard surface of the base manifold is reducible but can be compressed into an incompressible surface. This result supplements [CG] and extends [MMZ].